Borel's normal number theorem, proved by calculus alone, followed by short sections that establish the existence and fundamental properties of probability measures, presenting lebesque measure on the unit interval. Coverage includes key topics in measure, integration, random variables and expected values, convergence of distributions, derivatives and conditional probability and stochastic processes.
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Borel's normal number theorem, proved by calculus alone, followed by short sections that establish the existence and fundamental properties of probability measures, presenting lebesque measure on the unit interval. Coverage includes key topics in measure, integration, random variables and expected values, convergence of distributions, derivatives and conditional probability and stochastic processes.
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